Abstract
We continue the model independent study of the Polyakov action on an arbitrary compact surface without boundary of genus larger than 2 as the general solution of the relevant conformal Ward identity. A general formula for the Polyakov action and an explicit calculation of the energy-momentum tensor density is provided. It is further shown how Polyakov's SL(2,C) symmetry emerges in a curved base surface.
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Communicated by K. Gawedzki
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Zucchini, R. A Polyakov action on Riemann surfaces (II). Commun.Math. Phys. 152, 269–297 (1993). https://doi.org/10.1007/BF02098300
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DOI: https://doi.org/10.1007/BF02098300